11310111121000 has 64 divisors (see below), whose sum is σ = 26470286603280. Its totient is φ = 4523253580800.

The previous prime is 11310111120947. The next prime is 11310111121007. The reversal of 11310111121000 is 12111101311.

It can be written as a sum of positive squares in 8 ways, for example, as 525941147524 + 10784169973476 = 725218^2 + 3283926^2 .

It is a super-2 number, since 2×11310111121000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11310111121007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4751284 + ... + 6722716.

Almost surely, 2^{11310111121000} is an apocalyptic number.

11310111121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11310111121000 is an abundant number, since it is smaller than the sum of its proper divisors (15160175482280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11310111121000 is a wasteful number, since it uses less digits than its factorization.

11310111121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977191 (or 1977177 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 11310111121000 its reverse (12111101311), we get a palindrome (11322222222311).

The spelling of 11310111121000 in words is "eleven trillion, three hundred ten billion, one hundred eleven million, one hundred twenty-one thousand".